Solution :
At every stage the formula used will be :
[tex]$\frac{\text{available balance}}{(1+\text{interest rate})}= \text{required bank balance}$[/tex]
After the junior year, Aunt Mabel's bank balance will be :
[tex]$=\frac{8000}{1.0925}$[/tex]
= $ 7,322.65
Aunt Mabel's bank balance after sophomore year will be :
7,322.65 + 1000 = $ 8,322.65
[tex]$=\frac{8,322.65}{1.0325} $[/tex]
= $ 8060.677
After the freshman year, bank balance of Aunt Mable's will be :
8060.677 + 6000 = $ 14,060.677
[tex]$=\frac{14,060.677}{1.0250} $[/tex]
= $ 14.0606
If Aunt Mabel can predict the interest rate with accuracy, she will have to deposit :
$ 14.0606 + $ 9000 = $ 9,014.06
[tex]$=\frac{9014.06}{1.0525}$[/tex]
= $ 8,565.241
Compute the 2020 tax liability and the marginal and average tax rates for the following taxpayers. Click here to access the 2020 tax rate schedule. If required, round the tax liability to the nearest dollar. When required, round the average rates to four decimal places before converting to a percentage (i.e. .67073 would be rounded to .6707 and entered as 67.07%). a. Chandler, who files as a single taxpayer, has taxable income of $94,800.
Answer:
Tax liability:
Chandler is in 85,525 - 163,300 bracket.
Liability is:
= 14,605.50 + (24 % * (94,800 - 85,525))
= 14,605.50 + 2,226
= $16,832
Marginal Tax rate = 24%
Marginal tax rate for 85,525 - 163,300 bracket is 24%.
Average tax rate:
= Tax liability / Taxable income
= 16,832 / 94,800
= 17.76%
MECCS Inc. has net income of $3,492, interest expense of $172, sales of $7,290, addition to retained earnings of $1,596, selling and general expenses of $1,820, and depreciation of $990. What is the amount of dividends paid if the tax rate is 21 percent
Answer: $1,896
Explanation:
The amount of net income that is retained is determined by the amount of dividends paid in the formula:
= Net income - Retained earnings
= 3,492 - 1,596
= $1,896
Taxes and expenses would have already been catered for in the Net income.
Before prorating the manufacturing overhead costs at the end of 2016, the Cost of Goods Sold and Finished Goods Inventory had applied overhead costs of $57,600 and $21,000 in them, respectively. There was no Work-in-Process at the beginning or end of 2016. During the year, manufacturing overhead costs of $75,000 were actually incurred. The balance in the Applied Manufacturing Overhead was $78,600 at the end of 2016. If the under- or overapplied overhead is prorated between Cost of Goods Sold and the inventory accounts, how much will be the Cost of Goods Sold after the proration
Answer: $60238
Explanation:
First and foremost, we need to calculate the over applied overhead which will be the difference between the actual overhead and the applied overhead. This will be:
= $78600 - $75000
= $3600
Then, the portion allocated to the cost of goods sold will be:
= $3600 × $57600 /($57600 + $21000)
= $3600 × $57600/$78600
= $3600 × 0.7328
= $2638
Therefore, the cost of Goods Sold after the proration will be:
= $57600 + $2638
= $60238
What is the present value of the following set of cash flows, discounted at 15% per year? Year 1 2 3 4 Cash flow $100 -$100 $200 -$200
Answer:
$28.51
Explanation:
The computation of the present value of the following cash flows is as follows;
Present value factor = 1 ÷ (1 + rate of interest)^number of years
Now the present value is
= $100 × present value factor of year 1 - $100 × present value factor of year 2 + $200 × present value factor of year 3 - $200 × present value factor of year 4
= $100 × 0.8696 - $100 × 0.7561 + $200 × 0.6575 - $200 × 0.5717
= $86.96 - $75.61 + $131.5 - $114.34
= $28.51
Kingbird, Inc.had the following transactions during 2022: 1. Issued $340000 of par value common stock for cash. 2. Recorded and paid wages expense of $163200. 3. Acquired land by issuing common stock of par value $136000. 4. Declared and paid a cash dividend of $27200. 5. Sold a long-term investment (cost $8160) for cash of $8160. 6. Recorded cash sales of $1088000. 7. Bought inventory for cash of $435200. 8. Acquired an investment in Zynga stock for cash of $57120. 9. Converted bonds payable to common stock in the amount of $1360000. 10. Repaid a 6-year note payable in the amount of $598400. What is the net cash provided by investing activities
Answer: -$48,960
Explanation:
Investing activities are those that have to do with Capital expenses. These include fixed assets and investments into the securities of other companies.
From the transactions listed, the following are investing activities:
5. Sold a long-term investment (cost $8160) for cash of $8,160.
8. Acquired an investment in Zynga stock for cash of $57,120.
Net cash from investing activities is therefore:
= Cash inflows - Cash outflows
= 8,160 - 57,120
= -$48,960
Use the information in the adjusted trial balance to prepare (a) the income statement for the year ended December 31; (b) the statement of retained earnings for the year ended December 31 [Note: Retained Earnings at December 31 of the prior year was $284,220]; and (c) the balance sheet as of December 31.
Question Completion:
The adjusted trial balance for Chiara Company as of December 31 follows.
Debit Credit
Cash $182,200
Accounts receivable 51,500
Interest receivable 21,000
Notes receivable (due in 90 days) 169,000
Office supplies 15,500
Automobiles 175,000
Accumulated depreciation-Automobiles $70,000
Equipment 142,000
Accumulated depreciation-Equipment 19,000
Land 85,000
Accounts payable 98,000
Interest payable 50,000
Salaries payable 16,000
Unearned fees 30,000
Long-term notes payable 152,000
Common stock 51,580
Retained earnings 284,220
Dividends 48,000
Fees earned 524,000
Interest earned 34,000
Depreciation expense-Automobiles 27,500
Depreciation expense-Equipment 18,500
Salaries expense 190,000
Wages expense 44,000
Interest expense 36,200
Office supplies expense 35,800
Advertising expense 60,000
Repairs expense-Automobiles 27,600
Totals $1,328,800 $1,328,800
Answer:
CHIARA COMPANY
a) Income Statement For Year Ended December 31
Fees earned $524,000
Interest earned 34,000
Total revenue $558,000
Depreciation expense-Automobiles 27,500
Depreciation expense-Equipment 18,500
Salaries expense 190,000
Wages expense 44,000
Interest expense 36,200
Office supplies expense 35,800
Advertising expense 60,000
Repairs expense-Automobiles 27,600
Total expenses $ 439,600
Net income $118,400
CHIARA COMPANY
2. Statement of Retained Earnings For Year Ended December 31
Retained earnings, Dec.31 prior year $284,220
Add: Net income 118,400
402,620
Less: Dividends 48,000
Retained earnings, Dec. 31 current year $354,620
CHIARA COMPANY
3. Balance Sheet December 31
Assets
Current assets:
Cash $182,200
Accounts receivable 51,500
Interest receivable 21,000
Notes receivable (due in 90 days) 169,000
Office supplies 15,500 $439,200
Long-term assets:
Automobiles 175,000
Accumulated depreciation 70,000 105,000
Equipment 142,000
Accumulated depreciation 19,000 123,000
Land 85,000 $313,000
Total assets $752,200
Liabilities + Equity
Current liabilities:
Accounts payable $98,000
Interest payable 50,000
Salaries payable 16,000
Unearned fees 30,000 $194,000
Long-term notes payable 152,000
Total liabilities $346,000
Equity:
Common stock $51,580
Retained earnings 354,620 $406,200
Total equity Total liabilities and equity $752,200
Explanation:
The financial statements above are prepared from the adjusted trial balance. The revenue items (temporary accounts) are closed to the income statement, while the assets, liabilities, and equity accounts (permanent items) are closed to the balance sheet. The Statement of retained earnings links the income statement and the balance sheet through the adjustments to the net income and retained earnings.
On April 11 of the current year, Zack Corporation had a market price of $48 per share of common stock. Its par value was $10 per share. For the previous year, Zack paid an annual dividend of $3.90 per share. Zack's gross revenues and net income was $5,000,000 and $2,500,000, respectively. The dividend yield for Zack Corporation would be:_________a) 8%.b) 0.8%.c) 39%.d) None of these choices are correct.
Answer:
8%
Explanation:
Dividend yield is a measure of business performance, used by investors which compares dividend paid by a stock to its market share.
Given the above information,
Dividend yield = $3.90/$48 × 100 = 8.13%
Whispering Corporation has retained earnings of $715,700 at January 1, 2020. Net income during 2020 was $1,567,700, and cash dividends declared and paid during 2020 totaled $83,500. Prepare a retained earnings statement for the year ended December 31, 2020. Assume an error was discovered: land costing $88,840 (net of tax) was charged to maintenance and repairs expense in 2019.
Answer:
$2,288,740
Explanation:
Preparation of a retained earnings statement for the year ended December 31, 2020
RETAINED EARNINGS STATEMENT
For the Year Ended December 31, 2020
Retained earnings, January 1, as reported $715,700
Correction for overstatement of expenses in
prior period (net of tax) $88,840
Retained earnings, January 1, as adjusted $804,540
($715,700+$88,840)
Add Net income $1,567,700
Less Cash dividends ($83,500)
Retained earnings, December 31 $2,288,740
($804,540+$1,567,700-$83,500)
Therefore retained earnings statement for the year ended December 31, 2020 will be $2,288,740
g Tirri Corporation has provided the following information: Cost per Unit Cost per Period Direct materials $ 7.30 Direct labor $ 3.45 Variable manufacturing overhead $ 1.35 Fixed manufacturing overhead $ 24,000 Sales commissions $ 1.10 Variable administrative expense $ 0.65 Fixed selling and administrative expense $ 8,400 If the selling price is $27.70 per unit, the contribution margin per unit sold is closest to: Multiple Choice $13.85 $16.95 $10.40 $6.55
Answer:
$13.85
Explanation:
Calculation for what the contribution margin per unit sold is closest to:
Selling price $27.70 per unit,
Less Direct materials ($ 7.30)
Less Direct labor ($ 3.45)
Less Variable manufacturing overhead ($ 1.35 )
Less Sales commissions ($ 1.10)
Less Variable administrative expense ($ 0.65)
Contribution margin per unit sold $13.85
Therefore the contribution margin per unit sold is closest to: $13.85
Which qualification is necessary for a Mental Health Counselor?
A.) Knowledge of psychology and related books and resources
B.) Understanding of a psychology and religious tradition
C.) Understanding of psychology, and mathematics
D.) Knowledge of psychology and history of psychology
Answer:
i think its C. Understanding of Psychology, and Mathematics. Sorry if im wrong
Explanation:
Understanding psychology and mathematics qualification are necessary for a Mental Health Counselor. The correct option is C.
What is the connection between psychology and mathematics?
The area of psychology known as mathematical psychology is concerned with using mathematical and computational models to analyze and forecast human behavior. Memory, attention, problem-solving, perception, decision-making, and motor control are typical areas of interest.
Psychologists can interpret data and gain a better understanding of the brain with math. Therefore, having these skills is essential if you want to be as productive as possible at work. Though they usually focus on a person's behavior and thought processes, therapists can benefit from having a basic understanding of math. Students who understand math will do better in their science classes because math is closely related to the subjects they study.
Thus, the ideal selection is option C.
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Navistar Electric issued 1000 debenture bonds 2 years ago with a face value of $5,000 each and a bond interest rate of 15% per year payable semiannually. The bonds have a maturity date of 20 years from the date they were issued. If the interest rate in the market place is 10% per year compounded semiannually, determine the present worth today of one bond.
Answer:
$7,081.25
Explanation:
Face value = 5000
Coupon = 15% paid annually. Semi annual payment = 750/2 = 375
Time to maturity = 18 years
Interest rate = 10% compounded semi-annually
P = 375(P|A, 5%, 36) + 5000(P|F, 5%, 36)
P = 375(16.58131488) + 5000(0.17265193)
P = 6217.99308 + 863.25965
P = 7081.25273
P = $7,081.25
So, the present worth of one bond today is $7,081.25
Wat is accounting in economics
Answer:
Accounting and economics both involve plenty of number-crunching. But accounting is a profession devoted to recording, analyzing, and reporting income and expenses, while economics is a branch of the social sciences that is concerned with the production, consumption, and transfer of resources.
I hope it's helpful!
Bravo Industries intends to retire $950,000 in short-term debt using proceeds from the sale of 30,000 shares of common stock. The stock sells for $25 per share. How much of its short-term debt can Bravo exclude from current liabilities if the sale occurs after the balance sheet date but before the balance sheet issue
Answer:
the amount that should be excluded from the current liabilities is $750,000
Explanation:
The computation of the amount that should be excluded from the current liabilities is shown below;
= Number of shares in the common stock × selling price per share
= 30,000 shares × $25
= $750,000
Hence, the amount that should be excluded from the current liabilities is $750,000
A company has $14,500,000 in taxable income. Consider the following corporate marginal tax rates: Taxable income ($) Tax rate 0- 50,000 15% 50,001- 75,000 25% 75,001- 100,000 34% 100,001- 335,000 39% 335,001- 10,000,000 34% 10,000,001- 15,000,000 35% 15,000,001- 18,333,333 38% 18,333,334+ 35% Attempt 1/10 for 10 pts. Part 1 What is the marginal tax rate for the company?
Answer: 35%
Explanation:
The marginal corporate tax rate is the added tax amount that a company pays for every additional dollar that it makes as income.
It is given in ranges which show the rate to be paid for the amount of income earned by the company.
This company earned $14,500,000 in taxable income and so will fall under the 10,000,001- 15,000,000 bracket which means that their marginal tax rate is 35%.
Jordan plans to add a porch to her house. The new 16' 18' porch will cost an average of $27 por square foot. Jorden also plans to have a 15' sidewalk poured. The cost of the sidewalk will be an additional gas per foot. The gate on the parch will cost $500.00 extra. What will the total cost be?
Question is incomplete as the cost of the sidewalk is not given :
Assume the sidewalk cost an additional $6 per foot.
Answer:
$8366
Explanation:
Given that :
Size of porch = 16 by 18 feets
Area of porch = (16 * 18) = 288 ft²
Cost per ft² = $27
Cost of porch = ($27 * 288) = $7,776
Sidewalk = 15feets
Cost per foot = $6
Cost of sidewalk = ($6 * 15) = $90
Cost of gate = $500
Total cost :
(cost of porch area + side walk + gate)
($7776 + $90 + $500) = $8366
Kindly note that the cost pwr foot of sidewalk was erroneously excluded and the value employed for the cost was only assumed.
Johnson Company uses the allowance method to account for uncollectible accounts receivable. Bad debt expense is established as a percentage of credit sales. During the year, net credit sales totaled $600,000, and the estimated bad debt percentage is 2%. The allowance for uncollectible accounts had a credit balance of $5,600 at the beginning of the year and $4,700, after adjusting entries, at the end of the year. What is the amount of accounts receivable written off during the year
Answer:
$12,900
Explanation:
Calculation for the amount of accounts receivable written off during the year
Beginning Balance $5,600
Add Bad debt expense $12,000
(2% x $600,000)
Less End-of-year balance ($4,700)
Accounts receivable written off $12,900
($5,600+$12,000+$4,700)
Therefore the amount of accounts receivable written off during the year will be $12,900
Lanson Corporation Co.'s trial balance included the following account balances at December 31, 2021: Accounts payable $ 25,000 Bonds payable, due 2030 22,000 Salaries payable 16,000 Notes payable, due 2022 20,000 Notes payable, due 2026 40,000 What amount should be included in the current liabilities section of Lanson’s December 31, 2021, balance sheet?
Answer:
$61,000
Explanation:
Calculation for What amount should be included in the current liabilities section of Lanson’s December 31, 2021, balance sheet
Accounts payable $ 25,000
Add Salaries payable $16,000
Add Notes payable, due 2022 $20,000
December 31, 2021 Current liabilities section $61,000
($25,000+$16,000+$20,000)
Therefore the amount that should be included in the current liabilities section of Lanson’s December 31, 2021, balance sheet will be $61,000
1. For financial accounting purposes, what is the total amount of product costs incurred to make 21,750 units
Answer: $450,225
Explanation:
Product costs = Direct materials + Direct labor + Variable manufacturing overhead + Fixed manufacturing overhead
= (21,750 * 7.80) + (21,750 * 4.80) + (21,750 * 2.30) + (21,750 * 5.80)
= 169,650 + 104,400 + 50,025 + 126,150
= $450,225
During 2020, Mike's current FICA taxable is $2,700 and will not change for the remainder of the year. As of the 48th pay, he had earned $134,400 as FICA taxable income (he had a bonus earlier in the year). Determine the amount of FICA taxes to be withheld from the next three payroll periods.
Answer:
Social Security:
Week 49 = $167.4
Week 50 = $37.20
Week 51 = $0
Medicare Tax:
Week 49 = $39.15
Week 50 = $39.15
Week 51 = $39.15
Explanation:
Note: This question is not complete. But I have found similar question on the internet and in that question we are asked to assume the Tax Caps 2020. So, we will solving this question accordingly.
Solution:
According to 2020 slabs Social Security W/H, the upper limit is $137,700, after this amount employer will not withhold social security tax.
On the other hand, there is no limit for Medicare Tax.
According to the question, we know that, Mike's Pay period per amount = $2700.
And, until 48th pay, he has earned $134,400
So,
For week 49, the amount of 2700 will be added to the net amount.
$134,400 + $2700 = $ 137,100
Hence, it does not breach the upper limit so, it will be taxed to $2700 only.
%6.2 x 2700 = $167.4
For Week 50, now the net amount is $ 137,100, and further $2700 will definitely breach the upper limit by $600.
$ 137,700 - $137,100 = $600
So, the $600 will be taxed for 6.2%
6.2% x $600 = $37.20
For week 51, there is clear breach of the upper limit, so according to the 2020 slab for social security, there will be no social security tax over the limit of $137,700. Hence, it will be 0.
Now, for Medicare Tax:
There is no limit.
And 1.45% on the FICA.
FICA earned per period = $2700
Hence,
1.45% x $2700 = $39.15 for each week.
So,
Social Security:
Week 49 = $167.4
Week 50 = $37.20
Week 51 = $0
Medicare Tax:
Week 49 = $39.15
Week 50 = $39.15
Week 51 = $39.15
Which of the following activities is an example of using an intranet to gather
information?
A. A salesperson checks a customer's order status, posted by the
production department.
B. A marketing researcher reads the comments posted by
consumers on a social media website.
C. A marketing manager uses a news feed to get links to articles
about industry-related events each day.
D. A marketing manager looks up information about where a
retailer's stores are located on the retailer's website.
SUBMIT
Answer:
A. A salesperson checks a customer's order status, posted by the production department.
Explanation:
In the A answer it is an order status posted by the production department but does not state any external sources or websites. So you have to assume the action is done within the company network or "Intranet"
In the examples B through D there are references made to external sources like: social media website, news feed, and a retailer's website.
A salesperson checks a customer's order status, posted by the production department is an example of using an intranet to gather information.
What do you mean by salesperson?Simply said, a sales representative promotes a company's brand while selling their goods or services. From the initial lead outreach until the actual purchase, they manage client connections and function as the primary point of contact.
It is the perfect career if you want to be in control of your career because it is mostly performance-driven, meaning how well you sell directly effects how much money you earn.
One of the various careers you might apply for with a business degree is a sales representative position. Everything you need to know about this career path is outlined here.
All stages of the sales process involve a sales representative having direct consumer interactions. They are in charge of determining a customer's needs, making suitable product or service recommendations, and making sure they have a great experience from beginning to end.
Sales representatives occasionally make cold calls to leads they find in company directories or through customer recommendations.
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The following statements are financial transactions completed by Carver Industries. Identify which financial statement accounts are affected by the transactions.
1. Carver owes one of Its suppliers $120,000 on account for past purchases. Carver sent this supplier $50,000 to pay down the account.
2. Carver has $200,000 of long-term bonds outstanding that pay investors 8% annual interest at the end of the year. Carver has Just made this payment to bond investors.
3. Carver paid $1,500 to the utility company to cover this month's electric bill.
4. Carver issued new long-term bonds at their par value of $300,000 to fund a new Investment project.
5. Carver closed a large sale to a major customer for $200,000, though the Inventory was only valued at $140,000 on the company's balance sheet. The customer paid $70,000 upfront and has agreed to pay the rest of the bill in the next month.
Answer: See explanation
Explanation:
1. Carver owes one of Its suppliers $120,000 on account for past purchases. Carver sent this supplier $50,000 to pay down the account.
In this case, the account payable will have to be reduced by $50000.
Cash will also decrease by $50000.
2. Carver has $200,000 of long-term bonds outstanding that pay investors 8% annual interest at the end of the year. Carver has Just made this payment to bond investors.
In this case, the interest expnese will increase by := 8% × 200,000
= 0.2 × $200,000
= $16000
Also, the cash will as well decrease by $16000.
3. Carver paid $1,500 to the utility company to cover this month's electric bill.
The operating expenses will have to increase by $1500 while cash will decrease by $1500.
4. Carver issued new long-term bonds at their par value of $300,000 to fund a new Investment project.
There'll be an increase of $300,000 in the long term liabilities. Cash will also increase by $300,000
5. Carver closed a large sale to a major customer for $200,000, though the Inventory was only valued at $140,000 on the company's balance sheet. The customer paid $70,000 upfront and has agreed to pay the rest of the bill in the next month.
In this case, there'll be an increase in the sales revenue by $200000.
Increase in cash by $70000
Increase in the account receivable by $130000
Decrease in the inventory by $140000
Increase in the cost of goods that are sold by $140000.
Answer both parts of the following question. a. The San Francisco Chronicle reported that the toll on the Golden Gate Bridge was raised from $2 to $3. Following the toll increase, traffic fell by 5 percent. Based on this information, calculate the arc price elasticity of demand. Is demand elastic or inelastic
Answer:
The answer is "0.1".
Explanation:
Formula:
[tex]\text{Elasticity}= \frac{\% \text{volume changes in demand}}{ \% \text{price rise}}[/tex]
Calculating the value of price percent:
[tex]= \frac{(3-2)}{2} \times 100 \\\\= \frac{1}{2} \times 100 \\\\= \frac{100}{2} \\\\=50 \%[/tex]
Calculating the value of quantity change: [tex]= -5 \%[/tex]
Calculating the value of elasticity:
[tex]= \frac{-5}{50} \\\\ = \frac{-1}{10} \\\\= -0.1[/tex]
Through this convention, the environmental signal is decreased and elasticity =0.1 is achieved until conductivity. Whose comparatively in elasticity is not as high as 1.
Rousey, Inc., had a cash flow to creditors of $16,380 and a cash flow to stockholders of $6,740 over the past year. The company also had net fixed assets of $49,380 at the beginning of the year and $56,740 at the end of the year. Additionally, the company had a depreciation expense of $11,940 and an operating cash flow of $50,265. What was the change in net working capital during the year?
Answer:
$7,845
Explanation:
Calculation for What was the change in net working capital during the year
First step is to calculate the Cash flow from assets
Cash flow from assets = $16,380 + 6,740
Cash flow from assets= $23,120
Second step is to calculate the Net capital spending
Net capital spending = $56,740 − 49,380 + 11,940
Net capital spending = $19,300
Now let calculate the Change in net working capital
Change in net working capital = $50,265 − 19,300 − 23,120
Change in net working capital= $7,845
Therefore the change in net working capital during the year will be $7,845
The Internal Revenue Service Department of Tax Regulations writes regulations in accord with laws passed by Congress. On average, the department completes 300 projects per year. The Wall Street Journal reported that, as of October 11, 1997, the number of projects "on the Department’s plate" was 588. Nevertheless, the department head claimed that average time to complete a project was under six months. Do you have any reason to disagree? Why or why not?
Answer:
The IRS's claim (that the average time it takes to complete a project is < 6 months) is wrong. It takes the Department 23.52 months to complete a project.
Explanation:
a) Data and Calculations:
Number of projects "on the Department’s plate" (I) = 588 Projects
Average projects completed per year (R) = 300 Projects
Therefore, the flow time (the average time to complete a project by the department), T, = I / R
= 588 / 300 = 1.96 years = 1.96 X 12 = 23.52 months
b) The steps to calculate flow time (the amount of time a flow unit spends in a business process from beginning to end) are given as:
1. The number of projects handled over a period of time.
2. Let R = the number of units produced / duration of time period .
3. Compute the average inventory (I).
4. Compute flow time T =I/R.
A manufacturer has been selling 1000 flat-screen TVs a week at $350 each. A market survey indicates that for each $10 rebate offered to the buyer, the number of TVs sold will increase by 100 per week. (a) Find the demand function (price p as a function of units sold x). p(x) = Correct: Your answer is correct. (b) How large a rebate should the company offer the buyer in order to maximize its revenue? $ 125 Correct: Your answer is correct. (c) If its weekly cost function is C(x) = 61,000 + 110x, how should the manufacturer set the size of the rebate in order to maximize its profit?
Answer:
A. p(x) = (-1/10)x + 450x
B. 506,250
C. $280
Explanation:
(a) Calculation to Find the demand function
Let assume that the demand Q(p) is the LINEAR function of the price
Q(350) = 1000
dQ/dp = -100/10 = -10
Point-slope form :
Q-1000 = -10(p-350)
Q-1000 = -10p + 3500
Q= -10p+(3500+1000)
Q = -10p + 4500
Hence,
Q(p) = -10p +4500
The inverse is:
(Q-4500)/-10 = p
(-1/10)Q + 450 = p
Hence, p(x) = (-1/10)x + 450 where Q=x
Therefore the the demand function will be p(x) = (-1/10)x + 450x
(b) Calculation for How large a rebate should the company offer the buyer in order to maximize its revenue
Revenue = Price * Qauntity sold
R(p) = p*Q(p)
Revenue = p * (-10p + 4500)
Revenue= -10p^2 + 4500p
let Maximize:
0 = dR/dp = -20p + 4500
-4500 = -20p
p=-4500/-20
p = 450/2 = 225
Hence, Max. revenue
-10 (225)^2 + 4500 *225
= -506,250 + 1,012,500
= 506,250
Therefore How large a rebate should the company offer the buyer in order to maximize its revenue will be 506,250
(c) Calculation for how should the manufacturer set the size of the rebate in order to maximize its profit
Let C(x) represent cost to produce x television sets
Let C(Q(p)) represent cost to produce the demanded quantity
C(q(p)) = 61,000 + 110*Q(p)
C(q(p)) = 61,000 + 110* (-10p +4500)
C(q(p)) = 61,000 + -1,100p + 495,000
C(q(p)) = 556,000 - 1,100p
let calculate the profit using this formula
Profit = Revenue - Cost
Let plug in the formula
P(p) = -10p^2 + 4,500p - ( 556,000 - 1,100p)
P(p) = -10p^2 + 4,500p -556,000 + 1,100p
P(p) = -10p^2 + 5,600p - 556,000
Maximizing:
0=dP/dp = -20p + 5,600
Hence, maximizing profit occurs at price p=-5,600/-20 = $280
Therefore how should the manufacturer set the size of the rebate in order to maximize its profit will be $280
As the use of the Internet grows around the world, there must be as easy an exchange of ideas and information as possible between countries. One important issue is opt-in versus opt-out. In general, European websites have opt-in policies while U.S. websites have opt-out policies. Opt-in means customers must ask to be involved in data collection and marketing while opt-out companies automatically include customers in data collection unless the customer specifically asks not to be included. Europeans believe it is unethical to invade someone's privacy. Americans are not nearly as protective of their right to privacy. What ethical factor is illustrated by this example
Answer: Societal culture and norms
Explanation:
Based on the information given, the ethical factor that is illustrated by this example is "societal culture and norms".
Culture simply refers to the way of life with regards to certain group of people. It has to do with the ideas, attitudes and the values that such people have in the group.
With culture, one can be able to make a distinction between rights from wrongs. Therefore, Europeans believing it is unethical to invade someone's privacy and Americans are not nearly as protective of their right to privacy has to do with societal culture and norms.
New Hampshire adopted a tax law that in effect taxed the income of nonresidents working in New Hampshire only. Austin, a nonresident who worked in New Hampshire, claimed that the tax law was invalid. Was he correct
Answer:
He was correct. It violates equal protection, as this only applies to non-residents.
Explanation:
From the question we are informed about New Hampshire which adopted a tax law that in effect taxed the income of nonresidents working in New Hampshire only. Austin, a nonresident who worked in New Hampshire, claimed that the tax law was invalid. In this case, He was correct since It violates equal protection, as this only applies to non-residents. Income Tax Act can be regarded as an act that governs tax charged which applies to income of individuals, body of individuals as well as famies. The Section 1 of this Act state that tax is an obligation that needed to be fulfilled to State Inland Revenue Service in as much the the individual resides there.
A point inside the production possibilities curve is: A) attainable and the economy is efficient. B) attainable, but the economy is inefficient. C) unattainable, but the economy is inefficient. D) unattainable and the economy is efficient. Group of answer choices
Answer:
B) attainable, but the economy is inefficient.
Explanation:
In the case when there is a point that inside in the production possibility curve so it is attainable but there is non-efficient economy
Therefore according to the given options, the option B is correct
And, the rest of the options are wrong
So the same would be relevant too
MacKenzie Company sold $420 of merchandise to a customer who used a Regional Bank credit card. Regional Bank deducts a 5.0% service charge for sales on its credit cards. MacKenzie electronically remits the credit card sales receipts to the credit card company and receives payment immediately. The journal entry to record this sale transaction would be: Multiple Choice
Answer:
See below
Explanation:
Credit card expense = 5% of sales value $420 = $21
You will receive $5,000 one year from now, 6000 three years from now, and 7000 five years from now in real terms. Each payment will be received at the end of the period with the first payment occurring one year from today. The relevant nominal discount rate is 9.625 percent and the inflation rate is 2.3 percent. What are your winnings worth today in real dollars
Answer:
$14,495.56
Explanation:
The value of the earnings today can be determined using a financial calculator.
Present value is the sum of discounted cash flows
Present value can be calculated using a financial calculator
Cash flow in year 1 = $5,000
Cash flow in year 2 = 0
Cash flow in year 3 = $6,000
Cash flow in year 4 = 0
Cash flow in year 5 = $7,000
I = 7.16%
PV =
According to the fisher equation : (1 + nominal interest rate) = (1 + real interest rate) x (1 + inflation rate)
(1.09625) = (1 + real interest rate) x (1.023)
(1 + real interest rate) = 1.09625 / 1.023
real interest rate = 7.16%
To find the PV using a financial calculator:
1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.
2. after inputting all the cash flows, press the NPV button, input the value for I, press enter and the arrow facing a downward direction.
3. Press compute